3967960 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1431936.

The previous prime is 3967913. The next prime is 3967961. The reversal of 3967960 is 697693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17367 + ... + 17593.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 2^3967960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3967960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

3967960 is an abundant number, since it is smaller than the sum of its proper divisors (5881640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3967960 is a wasteful number, since it uses less digits than its factorization.

3967960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 40.

The square root of 3967960 is about 1991.9738954113. The cubic root of 3967960 is about 158.3151324107.

3967960 divided by its sum of digits (40) gives a palindrome (99199).

The spelling of 3967960 in words is "three million, nine hundred sixty-seven thousand, nine hundred sixty".